Non-linear mathematical models for blood flow through tapered tubes

Applied Mathematics and Computation

Volumn 188, Issue 1, 2007, Pages 567-582

  Sankar, D S ^a   Hemalatha, K ^b  

^a B S ABDUR RAHMAN CRESCENT INSTITUTE OF SCIENCE AND TECHNOLOGY   (India)

^b ANNA UNIVERSITY   (India)

Author keywords

Casson fluid; Herschel Bulkley fluid; Pressure drop; Resistance to flow; Steady flow; Tapered tube

Indexed keywords

BLOOD; FLOW OF FLUIDS; NONLINEAR EQUATIONS; PRESSURE DROP; REYNOLDS NUMBER; SHEAR STRESS;

CASSON FLUID; HERSCHEL-BULKLEY FLUID; RESISTANCE TO FLOW; TAPERED TUBE;

MATHEMATICAL MODELS;

EID: 34247593464     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2006.10.013     Document Type: Article

References (22)

1. Dwivedi A.P., Pal T.S., and Rakesh L. Micropolar fluid model for blood flow through a small tapered tube. Indian J. Technol. 20 (1982) 295-299
2. Chaturani P., and Pralhad R. Blood flow in tapered tubes with biorheological applications. Biorheology 22 (1985) 303-314
3. How T.V., and Black R.A. Pressure losses in non-Newtonian flow through rigid wall tapered tubes. Biorheology 24 (1987) 337-351
4. Chakravarthy S., and Mandal P.K. Two dimensional blood flow through tapered arteries under stenotic conditions. Int. J. Non-Linear Mech. 35 (2000) 779-793
5. How T.V., Black R.A., and Annis D. Comparison of pressure losses in steady non-Newtonian flow through experimental tapered and cylindrical arterial prostheses. J. Biomed. Eng. 10 (1988) 225-230
6. Mandal P.K. An unsteady analysis of non-Newtonian blood flow through tapered arteries with stenosis. Int. J. Non-Linear Mech. 40 (2005) 151-164
7. Merrill E.W., Benis A.M., Gilliland E.R., Sherwood T.K., and Salzman E.W. Pressure flow relations of human blood in hallow fibers at low shear rates. J. Appl. Physiol. 20 (1965) 954-967
8. Oka S. Pressure development in a non-Newtonian flow through a tapered tube. Biorheology 10 (1973) 207-212
9. Oka S., and Murata T. Theory of the steady slow motion of non- Newtonian fluids through a tapered tube. Jpn. J. Appl. Phys. 8 (1969) 5-8
10. Walawender Jr., Tien C., and Cerny L.C. Experimental studies on the blood flow throughout tapered tubes. Int. J. Eng. Sci. 10 (1972) 1123-1135
11. Chien S. Hemorheology in clinical medicine. Rec. Adv. Cardiovascular Dis. 2 Suppl. (1981) 21-26
12. Shukla J.B., Parihar R., and Gupta S.P. Biorheological aspects of blood flow through artery with mild stenosis: effects of peripheral layer. Biorheology 17 (1980) 403-410
13. Tu C., and Deville M. Pulsatile flow of non-Newtonian fluids through arterial stenosis. J. Biomech. 29 (1996) 899-908
14. Chaturani P.., and Ponnalagar Samy R. A study of non-Newtonian aspects of blood flow through stenosed arteries and its applications in arterial diseases. Biorheology 22 (1985) 521-531
15. D.S. Sankar, K. Hemalatha, Pulsatile flow of Herschel-Bulkley fluid through catheterized arteries - a mathematical model. App. Math. Modeling, in press.
16. D.S. Sankar, K. Hemalatha, A non-Newtonian fluid model for blood flow through a catheterized artery - steady flow, App. Math. Modeling, in press.
17. D.S. Sankar, Hemalatha, Pulsatile flow of Herschel-Bulkley fluid through stenosed arteries - a mathematical model, Int. J. Non-Linear Mech., in press.
18. Iida N. Influence of plasma layer on steady blood flow in microvessels. Jpn. J. Appl. Phys. 17 (1978) 203-214
19. Young D.F. Fluid mechanics of arterial stenosis. J. Biomech. Eng. (Trans. ASME) 101 (1979) 157-175
20. Karino T., and Goldsmith H.L. Flow behaviour of blood cells and rigid spheres in annular vortex. Philos. Trans. Roy. Soc., London B 279 (1977) 413-445
21. Kapur J.N. Mathematical Models in Biology and Medicine (1992), East West Press Pvt. Ltd., New Delhi, India
22. Merrill E.W. Rheology of human blood and space speculations on its role in vascular homeostasis. In: Sawyer P.N. (Ed). Biomechanical Mechanisms in Vascular Homeostasis and Intravascular Thrombus (1965), Appleton Century Crafts, New York